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Finding the Fourth Proportional to 530.58, 732.46 and 353.84

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Solution

The fourth proportional to 530.58, 732.46 and 353.84 is: 488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.58 : 732.46 = 353.84 : x
  2. Step 2: Convert to fraction form
    530.58/732.46 = 353.84/x
  3. Step 3: Cross multiply
    530.58x = 732.46 × 353.84
  4. Step 4: Simplify right side
    530.58x = 259,173.65
  5. Step 5: Solve for x
    x = 259,173.65/530.58
  6. Step 6: Final answer
    x = 488.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.